Displaying similar documents to “Geometric properties of composition operators belonging to Schatten classes.”

An extension of the univalence criterion for a family of integral operators

Erhan Deniz, Halit Orhan (2010)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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The main object of the present paper is to extend the univalence condition for a family of integral operators. Relevant connections of some of the results obtained in this paper with those in earlier works are also provided.

Essential norm of the difference of composition operators on Bloch space

Ke-Ben Yang, Ze-Hua Zhou (2010)

Czechoslovak Mathematical Journal

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Let ϕ and ψ be holomorphic self-maps of the unit disk, and denote by C ϕ , C ψ the induced composition operators. This paper gives some simple estimates of the essential norm for the difference of composition operators C ϕ - C ψ from Bloch spaces to Bloch spaces in the unit disk. Compactness of the difference is also characterized.